Answer:
1. Your answer would be C) 2√3-5√2.
2. Your answer would be -39.7i.
3. Your answer would be -1.
Step-by-step explanation:
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
![A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414](https://tex.z-dn.net/?f=A%3D2000%281%2B0.06%29%5E2%5E0%5C%5C%5C%5C%20A%3D%202000%281.06%29%5E2%5E0%5C%5C%5C%5C%20A%3D2000%2A3.207%5C%5C%5C%5CA%3D6414)
The amount given to the college is $6414
A. 100/20
The distance in meters should be divided by the time in seconds to get the value of the distance in meters travelled in one second.
Answer:
700 miles
Step-by-step explanation:
Since the scale is 0.5 and she's 7 inches away on the map, you divide 7 by 0.5 and get 14. Then, you multiply 14 by 50 because each inch is 50 miles.
Answer:
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Given
Age 11 Age 12 Total
Girls 3 5 8
Boys 1 3 4
Required
![P(Age\ 12)](https://tex.z-dn.net/?f=P%28Age%5C%2012%29)
The number of aged 12 children is:
![Age\ 12 = 5 + 3](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%205%20%2B%203)
![Age\ 12 = 8](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%208)
The total number of children is:
![Total=8+4](https://tex.z-dn.net/?f=Total%3D8%2B4)
So, we have:
![P(Age\ 12) = \frac{Age\ 12}{Total}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7BAge%5C%2012%7D%7BTotal%7D)
![P(Age\ 12) = \frac{8}{12}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B8%7D%7B12%7D)
Simplify
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)